Solve general triangle input combinations, retain every valid SSA solution and inspect actual scaled geometry and altitudes.
01 / PURPOSE-SPECIFIC INPUTS
SSA can have zero, one or two triangles; no valid alternate solution is silently discarded. Base/height alone determines area, not a unique complete triangle.
02 / RESULT & INTERACTIVE INSPECTION
The SVG uses solved coordinates and a single geometric scale. Classification uses a small stated numerical tolerance near equality/right angles; extremely degenerate numerical cases are rejected. Selected units label a common side unit, not independent per-side conversions.
Solution 1: a=3, b=4, c=5 units; A=36.8699°, B=53.1301°, C=90°; area 6, perimeter 12.
| Side | Length | Opposite angle ° | Altitude |
|---|---|---|---|
| a | 3 | 36.869898 | 4 |
| b | 4 | 53.130102 | 3 |
| c | 5 | 90 | 2.4 |
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SSS, Heron, SAS, ASA, AAS and SSA are supported, along with equilateral/isosceles shortcuts and area-only base-height mode. Side a is opposite A, b opposite B and c opposite C.
Solve general triangle input combinations, retain every valid SSA solution and inspect actual scaled geometry and altitudes. Inspect real calculated values through accessible visual controls and review the worked assumptions.
Triangle Calculator calculates locally in browser memory. Financial values, schedules, measurements, health inputs and other entries are not sent to a third-party calculation-processing API or stored as a personal profile. Ordinary page requests may still be logged. Clipboard access occurs only when you choose Copy Result.
SSS, Heron, SAS, ASA, AAS and SSA are supported, along with equilateral/isosceles shortcuts and area-only base-height mode. Side a is opposite A, b opposite B and c opposite C.
For known a, b and A, it computes sin(B)=b×sin(A)/a and tests both B and 180°−B. Only nondegenerate positive-angle solutions are retained, and both complete solutions are available when two exist.
Area is 6 and perimeter 12. Opposite angles are approximately 36.8699°, 53.1301° and 90°. All sides, angles, semiperimeter and altitudes are shown using the documented side-label convention.
Positive supported sides must satisfy strict triangle inequality. Interior angles must be positive and sum to 180 degrees. Impossible SSA or angle combinations and geometry below finite resolution receive controlled validation errors.
A base and perpendicular height determine area but do not uniquely determine the remaining sides or angles. The graphic is explicitly area-equivalent, and the undetermined dimensions are not fabricated.
Yes. Actual solved coordinates share one length scale. Selecting an alternate SSA solution changes its true geometry; an obtuse altitude can meet an extension of the baseline. This is mathematical geometry, not a surveyed construction drawing.